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Sergeeva-Olga [200]

3 years ago

8

jade ran 6 times around her neighborhood to complete a total of a mile. How may times will she need to run to complete 5/6 of a

mile?

1 answer:

Andreas93 [3]3 years ago

5 0

Jade would have to run 5 laps. The reason is because 1 lap will be 1/6 of a mile. Running 5 laps will be 5/6 of a mile

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A construction worker bought several bottles of juice for three dollars at the convenient store. She paid for them with a $20 bi

Veronika [31]

20-3j=change she should receive.

5 0

3 years ago

Please answer please answer

inessss [21]

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8 0

2 years ago

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Two pipes can fill a tank in 19 minutes if both are turned on. If only one is used, it would take 49 minutes longer for the smal

a_sh-v [17]

Answer:

The time taken by smaller pipe to fill the tank alone is 74.2 min

Step-by-step explanation:

Given as :

The time taken by two pipes to fill tank = 19 min

Let the time taken by larger pipe to fill tank = y

And the time taken by smaller pipe to fill tank = x

According to question

The smaller pipe takes 49 minutes longer than larger pipe

I.e x = y + 49

Now,

$\dfrac{1}{x}$ + $\dfrac{1}{y}$ = $\dfrac{1}{49}$

Or, $\dfrac{1}{y + 49}$ + $\dfrac{1}{y}$ = $\dfrac{1}{49}$

Or, $\dfrac{y + 49 + y}{y^{2} + 49 y }$ = $\dfrac{1}{49}$

Or, 2 y + 49 = $\dfrac{y^{2}+49y }{19}$

Or, 19 × ( 2 y + 49 ) = y² + 49 y

Or, 38 y + 931 = y² + 49 y

Or, y² + 49 y - 38 y - 931 = 0

or, y² + 11 y - 931 = 0

Or, Applying quadratic equation method to calculate the value of y

so, y = $\frac{- b \pm \sqrt{b^{2}-4\times a\times c}}{2\times a}$

Or, y = $\frac{- 11 \pm \sqrt{11^{2}-4\times 1\times (-931)}}{2\times 1}$

Or, y = $\frac{- 1 \pm \sqrt{121+3724}}{2}$

or, y = $\frac{- 1 \pm \sqrt{3845}}{2}$

or, y = $\frac{- 1 \pm 62.008}{2}$

∴ y = 25.2 , - 36.5

So, The time taken by larger pipe = y = 25.2 min

and the time taken by smaller pipe to fill the tank = y + 49 = 25.2 + 49 = 74.2 min

Hence The time taken by smaller pipe to fill the tank alone is 74.2 min answer

6 0

2 years ago

Which of the following is the most appropriate unit to describe the rate at which people are entering a theme park? (2 points)

Kisachek [45]

D) People per hour, because the dependent quantity is the people

The dependent quantity is the quantity that relies on other variables of the situation. Therefore, the hours it takes relies on the amount of people that come into the theme park. People will continuously come into the park, they do not depend on anything. This is why it can not be C.

3 0

3 years ago

Read 2 more answers

The sum of three consecutive integers is 114. what are the three integers?

RSB [31]

Answer: 37, 38, and 39

Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 114 and it asks us to find the integers.

3 consecutive integers can be represented as followed.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

X + 2 ⇒ <em>third integer</em>

<em />

Since the sum of our 3 consecutive integers is 114, we can set up an equation to represent this.

X + X + 1 + X + 2 = 114

We can simplify on the left side by combining the X's and the numbers.

3x + 3 = 114

-3 -3 ← <em>subtract 3 from both sides of the equation</em>

3x = 111

÷3 ÷3 ← <em>divide both sides of the equation by 3</em>

<em> </em>X = 37

X ⇒ <em>first integer = 37</em>

X + 1 ⇒ <em>second integer = 38</em>

X + 2 ⇒ <em>third integer = 39</em>

<em />

<em>Therefore, our 3 consecutive integers are 37, 38, and 39.</em>

5 0

3 years ago

Read 2 more answers